Wednesday, July 12

MS31
Geometric Singular Perturbation Theory and Wave Phenomena

10:30 AM - 12:30 PM
Room: Constitution - CC

Geometric singular perturbation theory gives a great insight to wave propagation phenomenon. The focus of this minisymposium is singularly perturbed systems where the existence of physically relevant solutions, their uniqueness and stability properties are treated using geometric singular perturbation theory. In particular, the speakers use Fenichel theory, the Exchange Lemma, geometric blow-up and Evans function calculations in a variety of problems.

Organizer: Anna Ghazaryan
University of North Carolina at Chapel Hill
Christopher Jones
University of North Carolina at Chapel Hill and University of Warwick, United Kingdom

10:30-10:55 Exchange Lemma for Nontrivial Slow Flows

Stephen Schecter, North Carolina State University

11:00-11:25 Rigorous Asymptotic Expansions for Critical Wave Speeds in a Family of Scalar Reaction-diffusion Equations

Nikola Popovic, Boston University; Freddy Dumortier, University of Hasselt, Belgium; Tasso J. Kaper, Boston University

11:30-11:55 Existence and Stability of Traveling Waves of the Regularized Short Pulse and Ostrovsky Equations

Nicola D. Costanzino, Brown University and University of North Carolina, Chapel Hill; Christopher Jones, University of North Carolina at Chapel Hill and University of Warwick, United Kingdom; Vahagn E. Manukian, North Carolina State University

12:00-12:25 On Subsonic Detonation Waves in Inert Porous Medium

Peter Gordon, New Jersey Institute of Technology; Christopher Jones, University of North Carolina at Chapel Hill and University of Warwick, United Kingdom; Anna Ghazaryan, University of North Carolina at Chapel Hill